A bioadhesive for bonding to wet skin is disclosed, including a novel non-Hevea-based resin, which serves as a tackifier for the rubber, possessing strong wet adhesion to human skin and the remarkable property of bonding to it underwater, and a novel non-Hevea rubber that provides cohesive strength to the adhesive. Pressure-sensitive adhesive tapes are used in many applications where there is a need to adhere to skin, for example, medical tapes, wound or surgical dressings, athletic tapes, surgical drapes, or tapes or tabs used in adhering medical devices such as sensors, electrodes, ostomy appliances, and so on.